Differential topology and geometry

Lecture course for magisters of Kyiv Academic University, Autumn, 2023

  1. Manifolds
    2023-09-04 video
  2. Smooth structures on manifolds
    2023-09-11 video
  3. Tangent vectors to a manifold
    2023-09-18 video
  4. Topology of the tangent bundle of a manifold
    2023-09-18 video
  5. Topology of the tangent bundle of a manifold
    2023-09-25 video
  6. Tangent map and inverse map theorem
    2023-10-02 video
  7. Submanifolds and transversality
    2023-10-09 video
  8. Curves in R^3
    2023-10-23 video
  9. Surfaces in R^3
    2023-11-06 video
  10. Tensors on manifolds (by Mykhailo Koreshkov)
    2023-11-13 video
  11. Vector bundles (by Artem Sobchenko)
    2023-11-27 video
  12. Sard's theorem (by Denys Lobanov)
    2023-11-27 video
  13. Spaces of jets (by Olena Mochuk)
    2023-12-11 video
  14. Riemannian manifolds. Geodesics (by Anastasiya Grabovets)
    2023-12-18 video
  15. Rinov-Hopf theorem (by Mykola Lysynskiy)
    2023-12-125 video
CONTACTS

Algebra and Topology department
Institute of Mathematics of NAS of Ukraine
Str. Tereshchenkivska, 3
Kyiv, 01024 Ukraine
Email: maks@imath.kiev.ua

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